The Structure of the QCD Potential in 2+1 Dimensions

TL;DR

This paper computes the inter-quark potential in 2+1 dimensional QCD, showing that screening and anti-screening effects closely match those in 3+1 dimensions, with high accuracy.

Contribution

It provides the first detailed calculation of screening effects in 2+1 dimensional QCD, comparing them quantitatively to 3+1 dimensional results.

Findings

Screening and anti-screening contributions are quantitatively similar to 3+1 dimensions.

The relative strength of screening to anti-screening matches within 1% accuracy.

The results are relevant for understanding high-temperature QCD behavior.

Abstract

We calculate the screening and anti-screening contributions to the inter-quark potential in 2+1 dimensions, which is relevant to the high temperature limit of QCD. We demonstrate that the relative strength of screening to anti-screening agrees with the 3+1 dimensional theory to better than one percent accuracy.